Mathematical physics

This textbook offers an insightful and practical introduction to computer simulations of neutrino scattering, decay processes, and flavor oscillations, providing essential background on their computational aspects.

This book provides a comprehensive overview of the latest achievements in the field of optical fiber lasers, covering the basics, technology, and numerous applications.

This book provides a comprehensive overview of the latest achievements in the field of optical fiber lasers, covering the basics, technology, and numerous applications.

This monograph provides the first comprehensive introduction to set-theoretic solutions of the Yang-Baxter equation and their deep connections with skew braces.

This monograph provides the first comprehensive introduction to set-theoretic solutions of the Yang-Baxter equation and their deep connections with skew braces.

This book provides a modern review of Fluctuation Relations and Fluctuation Theorems in nonequilibrium statistical mechanics.

During the last decades there has been a tremendous advancement of com- puter hardware, numerical algorithms, and scientific software.

This volume introduces a systematic approach to the solution of some mathematical problems that arise in the study of the hyperbolic-parabolic systems of equations that govern the motions of thermodynamic fluids.

The purpose of this book is to stimulate a much needed debate on ma- ematics education reform.

During the last decade enormous progress has been achieved in the field of computational fluid dynamics.

Preface to the First Edition This textbook is an introduction to Scienti?

This book encapsulates the coverage for a two-semester course in computational physics.

All over the world sport plays a prominent role in society: as a leisure activity for many, as an ingredient of culture, as a business and as a matter of national prestige in such major events as the World Cup in soccer or the Olympic Games.

This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during the period 10th - 26th July, 1995.

Stochastic processes are as usual the main subject of the Seminaire, with contributions on Brownian motion (fractional or other), Levy processes, martingales and probabilistic finance.

Equations of state are not always effective in continuum mechanics.

Entropy and entropy production have recently become mathematical tools for kinetic and hydrodynamic limits, when deriving the macroscopic behaviour of systems from the interaction dynamics of their many microscopic elementary constituents at the atomic or molecular level.

Collective behavior in systems with many components, blow-ups with emergence of microstructures are proofs of the double, continuum and atomistic, nature of macroscopic systems, an issue which has always intrigued scientists and philosophers.

A great deal of the success of science has rested on its specific methods.

The lecture courses of the CIME Summer School on Probabilistic Models for Nonlinear PDE's and their Numerical Applications (April 1995) had a three-fold emphasis: first, on the weak convergence of stochastic integrals; second, on the probabilistic interpretation and the particle approximation of equations coming from Physics (conservation laws, Boltzmann-like and Navier-Stokes equations); third, on the modelling of networks by interacting particle systems.

This monograph deals with two aspects of the theory of elliptic genus: its topological aspect involving elliptic functions, and its representation theoretic aspect involving vertex operator super-algebras.

The summer school on Mathematics inspired by Biology was held at Martina Franca, Apulia, Italy in 1997.

The articles in this volume were written to commemorate Reinhold Remmert's 60th birthday in June, 1990.

The book has a twofold purpose: for one it provides an easy access to widely tested computer codes for over 130 numerical algorithms.

the solution or its gradient.

"e;It is important to prove, is more but it important to improve.

Proceedings of the Third Workshop on Computer Algebra in Scientific Computing, Samarkand, Octobe5r 5-9, 2000

Geometric Mechanics here means mechanics on a pseudo-riemannian manifold and the main goal is the study of some mechanical models and concepts, with emphasis on the intrinsic and geometric aspects arising in classical problems.

The C.

Surveys the methods currently applied to study sums of infinite-dimensional independent random vectors in situations where their distributions resemble Gaussian laws.

In World Mathematical Year 2000 the traditional St.

The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics.

Spin glass theory is going through a stunning period of progress while finding exciting new applications in areas beyond theoretical physics, in particular in combinatorics and computer science.

This is yet another indispensable volume for all probabilists and collectors of the Saint-Flour series, and is also of great interest for mathematical physicists.

This book presents a numerical scheme for the solution of field problems governed by partial differential equations: the cell method.

This book presents the foundations of the inverse scattering method and its applications to the theory of solitons in such a form as we understand it in Leningrad.

Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve.

This book is devoted to the subject commonly called Chaotic Dynamics, namely the study of complicated behavior in time of maps and ?

Phase transformations in solids typically lead to surprising mechanical behaviour with far reaching technological applications.

Preface to the First Edition This textbook is an introduction to Scienti?

Many of problems of the natural sciences lead to nonlinear partial differential equations.

Modern notions and important tools of classical mechanics are used in the study of concrete examples that model physically significant molecular and atomic systems.

This book contains detailed lecture notes on four topics at the forefront of current research in computational mathematics.

Applied Mathematics: Body&Soul is a mathematics education reform p- gram including a series of books, together with associated educational ma- rial and open source software freely available from the project web page at www.